Geometric Solids (Polyhedra) can be constructed by plaiting
folded paper strips without use of glue.
Every strip is a sequence of certain quadrilaterals, and every folding-line is an edge or a diagonal of a quadrilateral.The plaiting considered here shall be ruled by a
"Plaiting Principle":

1. The plaiting strips of a polyhedron should be congruent to each other, if possible ("congruence property").

2. Every plaiting strip should generate a "closed sequence of sides" of the polyhedron surface. That means: when plaiting is finished, the first inner quadrilateral i 1 and the last outer quadrilateral of the strip have a certain polyhedron edge in common. ("closedness").

3. A plaiting strip should, if possible, contain no "vertex quadrilaterals" (except the first inner quadrilateral and the last outer one), that means: no quadrilaterals, with neighbour edges belonging to the border of the strip ("vertex freeness").

4. the plaiting strips should have the ("maximum property"), that means they should not arise from cutting bigger strips of the same polyhedron into smaller ones (see edge plaiting of the cube e. g.).

Of course, these ideal requirements cannot be fulfilled always (the strips for the plain plaiting of the
icosahedron, are not congruent, f. i.).